Hey Everyone

I am a British citizen who has been living legally in America for 17 years and transitioning for a year and a half from male to female. I would like to start the process of naturalization soon to become an American citizen.
Has anyone had any experience on American natrualization and a name change and marker change all at the same time? Is it even possible?
My high st. immigration lawyer says that i can change my name at the time of Naturalization to anything I want but the marker change will have to be a different process that comes later. I'm concerned that he may just be wrong due to inexperience of this scenario.
Does any of this make sense? Has anyone been though this?
Thanks in advance,
xoxo Deborah